Jubilismic family

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Revision as of 15:35, 27 September 2010 by Wikispaces>genewardsmith (**Imported revision 165788395 - Original comment: **)
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This revision was by author genewardsmith and made on 2010-09-27 15:35:10 UTC.
The original revision id was 165788395.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or [[http://en.wikipedia.org/wiki/Septimal_sixth-tone|septimal sixth-tone]]. It therefore identifies the two septimal tritones 7/5 and 10/7, an identification familiar from [[12edo]]. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.

Comma: 50/49

7 and 9 limit minimax tuning
[|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, 
|1/4 0 1/2 1/2>]
Eigenmonzos: 7/5, 3/2, 35/32

Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|]
Generators: 7/5, 3, 5
Edos: 10, 12, 22, 26, 38, 48

Original HTML content:

<html><head><title>Jubilismic family</title></head><body>Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow">septimal sixth-tone</a>. It therefore identifies the two septimal tritones 7/5 and 10/7, an identification familiar from <a class="wiki_link" href="/12edo">12edo</a>. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.<br />
<br />
Comma: 50/49<br />
<br />
7 and 9 limit minimax tuning<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |-1/4 0 1/2 1/2&gt;, <br />
|1/4 0 1/2 1/2&gt;]<br />
Eigenmonzos: 7/5, 3/2, 35/32<br />
<br />
Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]<br />
Generators: 7/5, 3, 5<br />
Edos: 10, 12, 22, 26, 38, 48</body></html>